The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on May 19, 2017 (Friday) at 11:00 in Room 478 of IMI.

A talk on:

A Calabi-Yau Conjecture for Generalized Kaehler Metrics on a Hyper-Kaehler Manifold

will be delivered by Vestislav Apostolov, Université du Québec à Montréal, Canada, and IMI - BAS.

Everybody is invited.

Abstract. In this talk I will introduce and motivate, using the point of view of Geometric Invariant Theory, the conjecture that any generalized Kaehler metric on a compact simple hyper-Kaehler manifold can be obtained from a hyper-Kaehler metric by a deformation due to D. Joyce. I will propose an analytic method for attacking the conjecture, based on the generalized Kaehler-Ricci flow introduced by Tian and Streets, and show its conditional resolution modulo the uniform boundedness of the Aeppli potential along the flow. This is a joint work with Jeff Streets